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Analysis of variance with interaction of effects

José B. Miranda Filho; Roland Vencovsky

Departamento de Genética, Escola Superior de Agricultura "Luiz de Queiroz", Universidade de São Paulo, Caixa Postal 83,13400-970 Piracicaba, SP, Brasil. Send correspondence to J.B.M.F.

ABSTRACT

The methodology given by Miranda Filho and Rissi (Rel. Cient. Inst. Genética (ESALQ/USP) 9: 102-114, 1975), for calculation of the sums of squares due to interactions in a simple factorial model, is presented in a more detailed fashion; an extension for a triple factorial model, with calculation of the sums of squares due to simple and triple interactions is given. Although the estimation of effects is not considered in the methodology, it may be seen as advantageous for its simplicity in performing the analysis of variance with interaction of effects. The methodology seems to be particularly useful when dealing with complex models, such as those for diallel crosses, where the analysis of variance with interaction of effects is not always possible with the usual formulas and procedures. The analysis of a variety diallel cross repeated over environments is given for illustration.

Keywords: Analysis of variance; interaction of effects.

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